摘要
The dynamic response of the non-linear elastic simply supportedbeam subjected to axial forces and transverse periodic load isstudied. Melnikov method is used to consider the dynamic behav- iorof the system whose post-buckling path is steady. The effect of thehigher order terms in the con- trolling equation is taken intoaccount. It is found that the fifth-order terms have a greatinfluence on the dynamic behavior of the system. The result showsthat there exist either homoclinic orbits or hete- roclinic orbits inthe system. In this paper, the critical values of the system enteringchaotic states are given. The diagram of an example is shown.
The dynamic response of the non-linear elastic simply supportedbeam subjected to axial forces and transverse periodic load isstudied. Melnikov method is used to consider the dynamic behav- iorof the system whose post-buckling path is steady. The effect of thehigher order terms in the con- trolling equation is taken intoaccount. It is found that the fifth-order terms have a greatinfluence on the dynamic behavior of the system. The result showsthat there exist either homoclinic orbits or hete- roclinic orbits inthe system. In this paper, the critical values of the system enteringchaotic states are given. The diagram of an example is shown.
基金
the National Natural Sciences Foundation of China
